85738129 has 2 divisors, whose sum is σ = 85738130. Its totient is φ = 85738128.

The previous prime is 85738111. The next prime is 85738183. The reversal of 85738129 is 92183758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84180625 + 1557504 = 9175^2 + 1248^2 .

It is a cyclic number.

It is not a de Polignac number, because 85738129 - 2⁵ = 85738097 is a prime.

It is not a weakly prime, because it can be changed into another prime (85738729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42869064 + 42869065.

It is an arithmetic number, because the mean of its divisors is an integer number (42869065).

Almost surely, 2^85738129 is an apocalyptic number.

It is an amenable number.

85738129 is a deficient number, since it is larger than the sum of its proper divisors (1).

85738129 is an equidigital number, since it uses as much as digits as its factorization.

85738129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120960, while the sum is 43.

The square root of 85738129 is about 9259.4885927896. The cubic root of 85738129 is about 440.9520175135.

The spelling of 85738129 in words is "eighty-five million, seven hundred thirty-eight thousand, one hundred twenty-nine".